algebraic space


algebraic space
алгебраическое пространство

English-Russian dictionary of technical terms. 2014.

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  • Algebraic space — In mathematics, an algebraic space is a generalization of the schemes of algebraic geometry introduced by Michael Artin for use in deformation theory.DefinitionAn algebraic space X comprises a schemeOne can always assume that U is an affine… …   Wikipedia

  • Space (mathematics) — This article is about mathematical structures called spaces. For space as a geometric concept, see Euclidean space. For all other uses, see space (disambiguation). A hierarchy of mathematical spaces: The inner product induces a norm. The norm… …   Wikipedia

  • Algebraic topology — is a branch of mathematics which uses tools from abstract algebra to study topological spaces. The basic goal is to find algebraic invariants that classify topological spaces up to homeomorphism. In many situations this is too much to hope for… …   Wikipedia

  • Algebraic holography — Algebraic holography, also sometimes called Rehren duality , is an attempt to understand the holographic principle of quantum gravity within the framework of algebraic quantum field theory, due to Karl Henning Rehren. It is sometimes described as …   Wikipedia

  • Algebraic character — is a formal expression attached to a module in representation theory of semisimple Lie algebras that generalizes the character of a finite dimensional representation and is analogous to the Harish Chandra character of the representations of… …   Wikipedia

  • Algebraic notation (chess) — Algebraic notation Algebraic notation (or AN) is a method for recording and describing the moves in a game of chess. It is now standard among all chess organizations and most books, magazines, and newspapers. In English speaking countries, AN… …   Wikipedia

  • Algebraic chess notation — is used to record and describe the moves in a game of chess. It is now standard among all chess organizations and most books, magazines, and newspapers. In English speaking countries, it replaced the parallel system of descriptive chess notation …   Wikipedia

  • Algebraic geometry — This Togliatti surface is an algebraic surface of degree five. Algebraic geometry is a branch of mathematics which combines techniques of abstract algebra, especially commutative algebra, with the language and the problems of geometry. It… …   Wikipedia

  • Algebraic structure — In algebra, a branch of pure mathematics, an algebraic structure consists of one or more sets closed under one or more operations, satisfying some axioms. Abstract algebra is primarily the study of algebraic structures and their properties. The… …   Wikipedia

  • Algebraic number field — In mathematics, an algebraic number field (or simply number field) F is a finite (and hence algebraic) field extension of the field of rational numbers Q. Thus F is a field that contains Q and has finite dimension when considered as a vector… …   Wikipedia

  • Algebraic variety — This article is about algebraic varieties. For the term a variety of algebras , and an explanation of the difference between a variety of algebras and an algebraic variety, see variety (universal algebra). The twisted cubic is a projective… …   Wikipedia

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